Question: a. Show that (X,, X2 ) = (x, -2x2,-x, + 3x2,3x, -2x2 ) is a linear transformation by finding a matrix that implements the mapping.

a. Show that (X,, X2 ) = (x, -2x2,-x, + 3x2,3x, -2x2 ) is a linear transformation by finding a matrix that implements the mapping. Note that x1 & x2 are not vectors but are entries in vectors. b. Find x such that T(x) = (-1, 4,9) c. Is T 1-1? Justify your answer. d. Is T onto? Justify your

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